5x^2 + x = -5
Equal to zero:
5x^2 + x + 5 = 0
General form:
ax^2 + bx + c
Where:
a= 5
b= 1
c= 5
Apply the quadratic formula:
[tex]\frac{-b\pm\sqrt{b^2-4\times a\times c}}{2\times a}[/tex]
Replacing:
[tex]\frac{-1\pm\sqrt{1^2-4\times5\times5}}{2\times5}[/tex][tex]\frac{-1\pm\sqrt{-99}}{10}[/tex][tex]\frac{-1\pm\sqrt[\placeholder{⬚}]{-1}\times\sqrt{99}}{10}[/tex][tex]\frac{-1\pm3\sqrt[\placeholder{⬚}]{11}\text{ i}}{10}[/tex]
Positive:
[tex]\frac{-1+3i\sqrt[\placeholder{⬚}]{11}}{10}[/tex]
Negative
[tex]\frac{-1-3i\sqrt[\placeholder{⬚}]{11}}{10}[/tex]
